Rendiconti del Seminario Matematico della Università di Padova


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Volume 129, 2013, pp. 79–91
DOI: 10.4171/RSMUP/129-6

Published online: 2013-05-15

A Geometric Approach for Convexity in Some Variational Problem in the Gauss Space

M. Goldman[1]

(1) Ecole Polytechnique, Palaiseau, France

In this short note we prove the convexity of minimizers of some variational problem in the Gauss space. This proof is based on a geometric version of an older argument due to Korevaar.

Keywords: Convexity - obstacle problem - regularity - total variation - Gauss space.

Goldman M.: A Geometric Approach for Convexity in Some Variational Problem in the Gauss Space. Rend. Sem. Mat. Univ. Padova 129 (2013), 79-91. doi: 10.4171/RSMUP/129-6